Answer:
So there are infinite solutions along the line y = 2x-1
Step-by-step explanation:
10x=5y+5
y=2x-1
Substitute y into the first equation
10x = 5(2x-1) +5
10x = 10x-5+5
10x = 10x
This is always true
So there are infinite solutions along the line y = 2x-1
1) The value of 6s in 36,621 are 6,000 and 600.
first 6 is in the thousands place value while the second 6 is in the hundreds place value.
6 x 1000 = 6,000 and 6 x 100 = 600
2) The first 4 is ten times greater than the second 4 is shown in 354,426
the first 4 is in the thousands place value while the second 4 is in the hundreds place value
4 x 1000 = 4000 and 4 x 100 = 400
based on the question the first 4, which is 4000, is ten times greater than the second 4, which is 400.
we can check if this statement is true either by dividing 4000 by ten or multiplying 400 by ten.
4000/10 = 400 ; 400 x 10 = 4000. therefor, out of the 4 numbers given, the correct one is 354,426
3) The relationship of the two 5s in 552 is shown in 500 ÷ 50 = 10
based on its place value, the first five is in the hundreds place and the second five is in the tens place.
500 ÷ 50 = 10. This equation states that 500 is ten times greater than 50.
4) In 2,077 the first 7 is greater than the second 7 by 10 times.
using place value, first 7 is in the tens place while second 7 is in the ones place.
first 7 is 70; second 7 is 7. we divide 70 by 7 to know how many number of times 70 is greater than 7.
70 ÷ 7 = 10 times.
C is 6 because the absolute value of -19 -13 would be 19-13 which equals 6
Answer:
E. This polynomial could be factored by using grouping or the perfect squares methods.
Step-by-step explanation:
x^2 + 2x + 1
There is no greatest common factor
This is a perfect square
a^2 + 2ab+ b^2 = ( x+1)^2
We can factor this by grouping
x^2 + 2x + 1
(x^2 +x) + (x+1)
x( x+1) + x+1
Factor out x+1
( x+1) ( x+1)
This is not the difference of squares since there is no subtraction
